305233120 has 96 divisors (see below), whose sum is σ = 752522400. Its totient is φ = 116852736.

The previous prime is 305233109. The next prime is 305233121. The reversal of 305233120 is 21332503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305233121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728271 + ... + 728689.

It is an arithmetic number, because the mean of its divisors is an integer number (7838775).

Almost surely, 2^305233120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376261200).

305233120 is an abundant number, since it is smaller than the sum of its proper divisors (447289280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305233120 is a wasteful number, since it uses less digits than its factorization.

305233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 305233120 is about 17470.9221279244. The cubic root of 305233120 is about 673.3030037859.

Adding to 305233120 its reverse (21332503), we get a palindrome (326565623).

The spelling of 305233120 in words is "three hundred five million, two hundred thirty-three thousand, one hundred twenty".